4.1. Calculating yR

Try these first

1. 1.

   Define resultant force in the context of fluid mechanics.

   Hint

   Think about how fluids exert force over areas.

2. 2.

   What does gauge pressure indicate?

   Hint

   It relates to height and density of fluid.

3. 3.

   What is the equation for the resultant force acting on a submerged surface?

   • FR = P * A
   • FR = ρgh * A
   • FR = ∫P dA

   Hint

   Remember the integration process!

4. 4.

   True or False: The center of pressure always coincides with the centroid of the area.

   • True
   • False

   Hint

   Consider pressure changes with depth.

5. 5.

   A rectangular gate is submerged under water with a width of 2 m and a height of 3 m. Calculate the resultant force acting on the gate.

   Hint

   Consider the pressure at the centroid of the gate.

6. 6.

   For a triangular surface submerged in fluid with base 4 m and height 3 m, calculate its center of pressure from the vertex.

   Hint

   Use properties of centroids and the moment of inertia for the calculations.